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Free Year 7 Fractions, decimals & percentages Quiz — 10 Questions, Instant Results

This free Year 7 fractions, decimals and percentages quiz asks 10 multiple-choice questions on one topic only, drawn from 12 tutor-checked items, and marks them the moment you press submit. It is part of RHZ Tutoring's bank of 3,261 free practice questions: no sign-up, no email, no download.

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✅ Victorian Curriculum aligned⚡ Instant marking + explanations📚 3,261 free practice questions

Free practice quizzesYear 7 Maths quiz › Fractions, decimals & percentages

Fractions, decimals & percentages at Year 7: what the curriculum expects

Year 7 brings the three forms together: converting between them, all four operations with fractions and decimals, percentages of amounts, percentage increase and decrease, and comparing quantities expressed in different forms.

This topic sits inside the Victorian Curriculum for Year 7 maths; the questions stay at the easy and at-level tiers so the result is a fair check of the foundations.

Common fractions, decimals and percentages misconceptions tutors see

The distractors in this quiz are built from real misconceptions rather than random wrong numbers, so a specific wrong answer usually points to a specific gap. The ones we see most at Year 7:

None of these is a sign of low ability. Each is a reasonable idea that worked in an earlier year and needs replacing, which is exactly what a good explanation, or a tutor, does.

Practising fractions, decimals and percentages with a Year 7 student

The habits that move fractions, decimals and percentages from shaky to secure at Year 7:

  1. Make a conversion table of the common fractions, decimals and percentages and test recall.
  2. Estimate before every calculation to catch misplaced decimal points.
  3. Use discount and interest examples from real advertisements.

In secondary school the lift comes from regular independent practice with worked solutions to check against, and from fixing errors the same day. Twenty minutes, four times a week, is enough.

How the 10 questions are chosen

Every set on this page is a seeded selection of 10 from the 12 fractions, decimals and percentages questions that pass our quality gate. A different seed gives a different set, and there are many more combinations than any one student will need. The correct answers never appear in the page source; the browser asks our server for them after you press Mark my answers.

A single-topic quiz is more precise than a mixed one: if the score here is low, the gap is in fractions, decimals and percentages, not somewhere in Year 7 maths generally. It is still short, though, and it cannot show how a student copes with the stretch and challenge questions that decide a top result. That is what the free Skills Check adds.

The quiz: 10 questions

Choose one answer for each question, then press Mark my answers. Set 16082 · New set of questions →

Question 1
Fractions, decimals & percentages

Find 2/5 of 60.

Question 2
Fractions, decimals & percentages

Calculate: 2/3 × 3/4.

Question 3
Fractions, decimals & percentages

Write 40% as a fraction in simplest form.

Question 4
Fractions, decimals & percentages

Simplify: 8/12.

Question 5
Fractions, decimals & percentages

In Year 7, 45% of students chose science as their favourite subject. Of those students, 2/3 also chose maths as their second favourite. What percentage of ALL Year 7 students chose science as their favourite AND maths as their second favourite? Give your answer as a decimal percentage.

Question 6
Fractions, decimals & percentages

Write 3/4 as a decimal.

Question 7
Fractions, decimals & percentages

Aisha scores 18 out of 24 on a maths test and 35 out of 50 on a science test. Which statement is correct?

Question 8
Fractions, decimals & percentages

A school fundraiser raises $1 200. The school spends 35% on decorations, 0.45 of the total on prizes, and the rest on charity. How much money goes to charity?

Question 9
Fractions, decimals & percentages

Find 10% of 90.

Question 10
Fractions, decimals & percentages

A $50 item rises by 20%. Its new price is:

How to read a score out of 10

9 or 10 out of 10
The easy and at-level content is secure. The useful question now is how far above the year level the student can go, which a ten-item quiz cannot show. The free Skills Check adds stretch and challenge questions on every topic so you can see the ceiling as well as the floor.
7 or 8 out of 10
Solid, with one or two specific gaps. Look at which topic the incorrect answers came from (the results panel names the weakest topic) and spend a week on that topic before re-testing with a different seed.
5 or 6 out of 10
Some core ideas are shaky. The pattern matters more than the score: two misses in the same topic is a gap; misses scattered across topics usually means reading the question too fast. Either way, the Skills Check will tell you which.
4 or fewer out of 10
Foundations from an earlier year are probably missing, which is common and fixable. Try the quiz one year level down to confirm, then talk to a tutor about a short catch-up plan rather than more of the same practice.

What to do with the result

1. Want the full picture?

The free Skills Check takes about 15 minutes, covers every Year 7 topic including stretch and challenge questions, and sends a same-day topic-by-topic report. A tutor calls to walk you through it, no obligation.

Start the free Skills Check →

2. Printable practice with answers

Our Year 7 practice papers are full-length, curriculum-aligned and come with worked answers, so a student can practise on paper the way the real test is sat.

Browse practice papers →

3. Tutoring in Melbourne's west or online

Small groups from $25 an hour and 1:1 from $35 an hour at our Truganina centre, or online anywhere in Australia. Same tutors, same Skills Check, same progress notes either way.

See Maths tutoring → All tutoring →

Questions? Call 03 9509 3293 or book a free consultation. RHZ Tutoring, 17/47 Apex Drive, Truganina VIC 3029.

Frequently asked questions

Is this Year 7 fractions, decimals and percentages quiz free?

Yes, completely: no sign-up, no email, no payment, and you can take it as many times as you like. It is one of 3,261 free practice questions RHZ Tutoring publishes across Prep to Year 12. Press New set of questions, or add ?seed= to the address, for a different selection from the same topic.

Why only 10 questions on one topic?

Because a single-topic set is the most precise free check available: if the score is low, the gap is in fractions, decimals and percentages and nowhere else. There are 12 eligible questions on this topic in our Year 7 Maths bank, so several different sets are available before any repeat.

Where do the fractions, decimals and percentages questions come from?

From RHZ Tutoring's own Year 7 Maths question bank, written to the Victorian Curriculum, checked by a tutor and passed through an automated quality gate. The same bank feeds our tutoring sessions and the free Skills Check. The questions on this page sit at the easy and at-level tiers.

What should I do if the score is low?

Read the explanation for each incorrect answer first; most gaps in fractions, decimals and percentages are one of the misconceptions listed on this page. Then try a second set a few days later. If it is still low, the free Skills Check will show whether the gap is confined to this topic, and a tutor can build a short catch-up plan.

Is there a mixed Year 7 Maths quiz?

Yes. The Year 7 Maths quiz spreads ten questions across every topic for the year, and the hub lists topic quizzes for every year level from Prep to Year 12.

Other Maths topics for Year 7

Mixed Year 7 Maths quiz (all topics) →

All 3,261 free practice questions, Prep to Year 12 →